Solve 2/3+1/7+1/3=

$$\frac { 2 } { 3 } + \frac { 1 } { 7 } + \frac { 1 } { 3 } =$$

Evaluate

$$\frac{8}{7}\approx 1.142857143$$

Solution Steps

Least common multiple of 3 and 7 is 21. Convert \frac{2}{3} and \frac{1}{7} to fractions with denominator 21.

$$\frac{14}{21}+\frac{3}{21}+\frac{1}{3}$$

Since \frac{14}{21} and \frac{3}{21} have the same denominator, add them by adding their numerators.

$$\frac{14+3}{21}+\frac{1}{3}$$

Add 14 and 3 to get 17.

$$\frac{17}{21}+\frac{1}{3}$$

Least common multiple of 21 and 3 is 21. Convert \frac{17}{21} and \frac{1}{3} to fractions with denominator 21.

$$\frac{17}{21}+\frac{7}{21}$$

Since \frac{17}{21} and \frac{7}{21} have the same denominator, add them by adding their numerators.

$$\frac{17+7}{21}$$

Add 17 and 7 to get 24.

$$\frac{24}{21}$$

Reduce the fraction \frac{24}{21} to lowest terms by extracting and canceling out 3.

$$\frac{8}{7}$$

Factor

$$\frac{2 ^ {3}}{7} = 1\frac{1}{7} = 1.1428571428571428$$